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2 weeks ago
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# UnitCommitment.jl: Optimization Package for Security-Constrained Unit Commitment
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# Copyright (C) 2020, UChicago Argonne, LLC. All rights reserved.
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# Released under the modified BSD license. See COPYING.md for more details.
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function _add_planning_unified!(
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model::JuMP.Model,
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pu::ProfiledUnit,
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lm::TransmissionLine,
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sc::UnitCommitmentScenario,
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)::Nothing
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invest_unit = _init(model, :invest_unit)
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invest_line = _init(model, :invest_line)
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eq_invest_unit_history = _init(model, :eq_invest_unit_history)
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eq_invest_line_history = _init(model, :eq_invest_line_history)
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eq_invest_unit_capacity = _init(model, :eq_invest_unit_capacity)
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# t == 0
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# TODO: If investment cost is zero, skip creating these investment variables
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invest_unit[sc.name, pu.name, 0] = @variable(
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model,
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binary = true,
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fixed = pu.invest == 0.0
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)
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invest_line[sc.name, lm.name, 0] = Int(lm.invest == 0.0)
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for t in 1:model[:instance].time
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# Decision variable
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invest_unit[sc.name, pu.name, t] = @variable(model, binary = true)
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invest_line[sc.name, lm.name, t] = @variable(model, binary = true)
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# Objective function terms
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add_to_expression!(
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model[:obj],
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invest_unit[sc.name, pu.name, t] - invest_unit[sc.name, pu.name, t-1],
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pu.invest[t] * sc.probability,
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)
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add_to_expression!(
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model[:obj],
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invest_line[sc.name, lm.name, t] - invest_line[sc.name, lm.name, t-1],
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lm.invest[t] * sc.probability,
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)
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# Investment constraints
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# (1c) in the paper
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eq_invest_unit_history[sc.name, pu.name, t] = @constraint(
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model,
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invest_unit[sc.name, pu.name, t-1] <= invest_unit[sc.name, pu.name, t]
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)
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# (1d) in the paper
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eq_invest_line_history[sc.name, lm.name, t] = @constraint(
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model,
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invest_line[sc.name, lm.name, t-1] <= invest_line[sc.name, lm.name, t]
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)
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# (1h) in the paper TODO: separate this to two halves
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eq_invest_unit_capacity[sc.name, pu.name, t] = @constraint(
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model,
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pu.min_power[t] * invest_unit[sc.name, pu.name, t] <=
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model[:prod_above][sc.name, pu.name, t] <=
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pu.max_power[t] * invest_unit[sc.name, pu.name, t]
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)
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end
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return
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end
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# TODO: add max_copy constraint
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function _add_planning_new_lines!(
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model::JuMP.Model,
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lm::TransmissionLine,
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bs::Bus,
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f::PhaseAngleFormulation,
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sc::UnitCommitmentScenario,
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)::Nothing
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θ = _init(model, :theta)
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flow = _init(model, :flow)
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invest_line = model[:invest_line]
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eq_invest_line_flow_a = _init(model, :eq_invest_line_flow_a)
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eq_invest_line_flow_b = _init(model, :eq_invest_line_flow_b)
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eq_invest_line_flow_limit = _init(model, :eq_invest_line_flow_limit)
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bigM = 1e6 # TODO: make this a parameter
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for t in 1:model[:instance].time
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# TODO: add bus field: phase_angle_limit? give default
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θ[sc.name, bs.name, t] = @variable(model, lower_bound = -pi, upper_bound = pi)
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flow[sc.name, lm.name, t] = @variable(model)
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# (2b)
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eq_invest_line_flow_a[sc.name, lm.name, t] = @constraint(
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model,
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model[:flow][sc.name, lm.name, t] <=
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lm.susceptance * (θ[sc.name, lm.source.name, t] - θ[sc.name, lm.target.name, t])
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+ bigM * (1 - invest_line[sc.name, lm.name, t])
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)
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# (2c)
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eq_invest_line_flow_b[sc.name, lm.name, t] = @constraint(
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model,
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model[:flow][sc.name, lm.name, t] >=
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lm.susceptance * (θ[sc.name, lm.source.name, t] - θ[sc.name, lm.target.name, t])
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- bigM * (1 - invest_line[sc.name, lm.name, t])
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)
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# (2d)
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eq_invest_line_flow_limit[sc.name, lm.name, t] = @constraint(
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model,
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-lm.normal_flow_limit[t] * invest_line[sc.name, lm.name, t] <=
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model[:flow][sc.name, lm.name, t] <=
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lm.normal_flow_limit[t] * invest_line[sc.name, lm.name, t]
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)
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end
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return
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end
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@ -0,0 +1,298 @@
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{
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"Parameters": {
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"Version": "0.4",
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"Time horizon (h)": 1,
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"Power balance penalty ($/MW)": 1000.0,
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"Scenario name": "s1",
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"Scenario weight": 1.0,
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"Operation cost weight": 1.0
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},
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"Buses": {
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"b1": {
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"Load (MW)": 80.0
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},
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"b2": {
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"Load (MW)": 240.0
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},
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"b3": {
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"Load (MW)": 40.0
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},
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"b4": {
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"Load (MW)": 160.0
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},
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"b5": {
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"Load (MW)": 240.0
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},
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"b6": {
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"Load (MW)": 0.0
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}
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},
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"Generators": {
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"gen1": {
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"Bus": "b1",
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"Type": "Profiled",
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"Maximum power (MW)": 150.0,
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"Cost ($/MW)": 0.0
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},
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"gen2": {
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"Bus": "b3",
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"Type": "Profiled",
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"Maximum power (MW)": 360.0,
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"Cost ($/MW)": 0.0
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},
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"gen3": {
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"Bus": "b6",
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"Type": "Profiled",
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"Maximum power (MW)": 600.0,
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"Cost ($/MW)": 0.0
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}
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},
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"Transmission lines": {
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"l1": {
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"Source bus": "b1",
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"Target bus": "b2",
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"Susceptance (S)": 2.5,
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"Normal flow limit (MW)": 100.0,
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"Investment cost ($)": 0.0,
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"Guide Number": 40.0,
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"Reactance (p.u.)": 0.4,
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"Resistance (p.u.)": 0.1,
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"Length (miles)": 40.0
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},
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"l2": {
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"Source bus": "b1",
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"Target bus": "b4",
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"Susceptance (S)": 1.6666666666666667,
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"Normal flow limit (MW)": 80.0,
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"Investment cost ($)": 0.0,
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"Guide Number": 60.0,
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"Reactance (p.u.)": 0.6,
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"Resistance (p.u.)": 0.15,
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"Length (miles)": 60.0
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},
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"l3": {
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"Source bus": "b1",
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"Target bus": "b5",
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"Susceptance (S)": 5.0,
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"Normal flow limit (MW)": 100.0,
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"Investment cost ($)": 0.0,
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"Guide Number": 20.0,
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"Reactance (p.u.)": 0.2,
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"Resistance (p.u.)": 0.05,
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"Length (miles)": 20.0
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},
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"l4": {
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"Source bus": "b2",
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"Target bus": "b3",
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"Susceptance (S)": 5.0,
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"Normal flow limit (MW)": 100.0,
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"Investment cost ($)": 0.0,
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"Guide Number": 20.0,
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"Reactance (p.u.)": 0.2,
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"Resistance (p.u.)": 0.05,
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"Length (miles)": 20.0
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},
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"l5": {
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"Source bus": "b2",
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"Target bus": "b4",
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"Susceptance (S)": 2.5,
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"Normal flow limit (MW)": 100.0,
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"Investment cost ($)": 0.0,
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"Guide Number": 40.0,
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"Reactance (p.u.)": 0.4,
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"Resistance (p.u.)": 0.1,
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"Length (miles)": 40.0
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},
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"l6": {
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"Source bus": "b3",
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"Target bus": "b5",
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"Susceptance (S)": 5.0,
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"Normal flow limit (MW)": 100.0,
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"Investment cost ($)": 0.0,
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|
"Guide Number": 20.0,
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|
"Reactance (p.u.)": 0.2,
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"Resistance (p.u.)": 0.05,
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"Length (miles)": 20.0
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},
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"new_l7": {
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"Source bus": "b1",
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"Target bus": "b2",
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"Susceptance (S)": 2.5,
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"Normal flow limit (MW)": 100.0,
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"Investment cost ($)": 40000000.0,
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"Max number of parallel circuits": 4,
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|
"Guide Number": 40.0,
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|
"Reactance (p.u.)": 0.4,
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"Resistance (p.u.)": 0.1,
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"Length (miles)": 40.0
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},
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"new_l8": {
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"Source bus": "b1",
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"Target bus": "b3",
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"Susceptance (S)": 2.6315789473684212,
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"Normal flow limit (MW)": 100.0,
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"Investment cost ($)": 38000000.0,
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|
"Max number of parallel circuits": 4,
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|
"Guide Number": 38.0,
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|
"Reactance (p.u.)": 0.38,
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|
"Resistance (p.u.)": 0.09,
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"Length (miles)": 38.0
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},
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"new_l9": {
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"Source bus": "b1",
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"Target bus": "b4",
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|
"Susceptance (S)": 1.6666666666666667,
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|
"Normal flow limit (MW)": 80.0,
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|
"Investment cost ($)": 60000000.0,
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|
"Max number of parallel circuits": 4,
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|
"Guide Number": 60.0,
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|
"Reactance (p.u.)": 0.6,
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|
"Resistance (p.u.)": 0.15,
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"Length (miles)": 60.0
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|
},
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"new_l10": {
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|
"Source bus": "b1",
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|
"Target bus": "b5",
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|
"Susceptance (S)": 5.0,
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|
"Normal flow limit (MW)": 100.0,
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|
"Investment cost ($)": 20000000.0,
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|
"Max number of parallel circuits": 4,
|
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|
"Guide Number": 20.0,
|
||||||
|
"Reactance (p.u.)": 0.2,
|
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|
"Resistance (p.u.)": 0.05,
|
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|
"Length (miles)": 20.0
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|
},
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|
"new_l11": {
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|
"Source bus": "b1",
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|
"Target bus": "b6",
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|
"Susceptance (S)": 1.4705882352941175,
|
||||||
|
"Normal flow limit (MW)": 70.0,
|
||||||
|
"Investment cost ($)": 68000000.0,
|
||||||
|
"Max number of parallel circuits": 4,
|
||||||
|
"Guide Number": 68.0,
|
||||||
|
"Reactance (p.u.)": 0.68,
|
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|
"Resistance (p.u.)": 0.17,
|
||||||
|
"Length (miles)": 68.0
|
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|
},
|
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|
"new_l12": {
|
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|
"Source bus": "b2",
|
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|
"Target bus": "b3",
|
||||||
|
"Susceptance (S)": 5.0,
|
||||||
|
"Normal flow limit (MW)": 100.0,
|
||||||
|
"Investment cost ($)": 20000000.0,
|
||||||
|
"Max number of parallel circuits": 4,
|
||||||
|
"Guide Number": 20.0,
|
||||||
|
"Reactance (p.u.)": 0.2,
|
||||||
|
"Resistance (p.u.)": 0.05,
|
||||||
|
"Length (miles)": 20.0
|
||||||
|
},
|
||||||
|
"new_l13": {
|
||||||
|
"Source bus": "b2",
|
||||||
|
"Target bus": "b4",
|
||||||
|
"Susceptance (S)": 2.5,
|
||||||
|
"Normal flow limit (MW)": 100.0,
|
||||||
|
"Investment cost ($)": 40000000.0,
|
||||||
|
"Max number of parallel circuits": 4,
|
||||||
|
"Guide Number": 40.0,
|
||||||
|
"Reactance (p.u.)": 0.4,
|
||||||
|
"Resistance (p.u.)": 0.1,
|
||||||
|
"Length (miles)": 40.0
|
||||||
|
},
|
||||||
|
"new_l14": {
|
||||||
|
"Source bus": "b2",
|
||||||
|
"Target bus": "b5",
|
||||||
|
"Susceptance (S)": 3.2258064516129035,
|
||||||
|
"Normal flow limit (MW)": 100.0,
|
||||||
|
"Investment cost ($)": 31000000.0,
|
||||||
|
"Max number of parallel circuits": 4,
|
||||||
|
"Guide Number": 31.0,
|
||||||
|
"Reactance (p.u.)": 0.31,
|
||||||
|
"Resistance (p.u.)": 0.08,
|
||||||
|
"Length (miles)": 31.0
|
||||||
|
},
|
||||||
|
"new_l15": {
|
||||||
|
"Source bus": "b2",
|
||||||
|
"Target bus": "b6",
|
||||||
|
"Susceptance (S)": 3.3333333333333335,
|
||||||
|
"Normal flow limit (MW)": 100.0,
|
||||||
|
"Investment cost ($)": 30000000.0,
|
||||||
|
"Max number of parallel circuits": 4,
|
||||||
|
"Guide Number": 30.0,
|
||||||
|
"Reactance (p.u.)": 0.3,
|
||||||
|
"Resistance (p.u.)": 0.08,
|
||||||
|
"Length (miles)": 30.0
|
||||||
|
},
|
||||||
|
"new_l16": {
|
||||||
|
"Source bus": "b3",
|
||||||
|
"Target bus": "b4",
|
||||||
|
"Susceptance (S)": 1.6949152542372883,
|
||||||
|
"Normal flow limit (MW)": 82.0,
|
||||||
|
"Investment cost ($)": 59000000.0,
|
||||||
|
"Max number of parallel circuits": 4,
|
||||||
|
"Guide Number": 59.0,
|
||||||
|
"Reactance (p.u.)": 0.59,
|
||||||
|
"Resistance (p.u.)": 0.15,
|
||||||
|
"Length (miles)": 59.0
|
||||||
|
},
|
||||||
|
"new_l17": {
|
||||||
|
"Source bus": "b3",
|
||||||
|
"Target bus": "b5",
|
||||||
|
"Susceptance (S)": 5.0,
|
||||||
|
"Normal flow limit (MW)": 100.0,
|
||||||
|
"Investment cost ($)": 20000000.0,
|
||||||
|
"Max number of parallel circuits": 4,
|
||||||
|
"Guide Number": 20.0,
|
||||||
|
"Reactance (p.u.)": 0.2,
|
||||||
|
"Resistance (p.u.)": 0.05,
|
||||||
|
"Length (miles)": 20.0
|
||||||
|
},
|
||||||
|
"new_l18": {
|
||||||
|
"Source bus": "b3",
|
||||||
|
"Target bus": "b6",
|
||||||
|
"Susceptance (S)": 2.0833333333333335,
|
||||||
|
"Normal flow limit (MW)": 100.0,
|
||||||
|
"Investment cost ($)": 48000000.0,
|
||||||
|
"Max number of parallel circuits": 4,
|
||||||
|
"Guide Number": 48.0,
|
||||||
|
"Reactance (p.u.)": 0.48,
|
||||||
|
"Resistance (p.u.)": 0.12,
|
||||||
|
"Length (miles)": 48.0
|
||||||
|
},
|
||||||
|
"new_l19": {
|
||||||
|
"Source bus": "b4",
|
||||||
|
"Target bus": "b5",
|
||||||
|
"Susceptance (S)": 1.5873015873015872,
|
||||||
|
"Normal flow limit (MW)": 75.0,
|
||||||
|
"Investment cost ($)": 63000000.0,
|
||||||
|
"Max number of parallel circuits": 4,
|
||||||
|
"Guide Number": 63.0,
|
||||||
|
"Reactance (p.u.)": 0.63,
|
||||||
|
"Resistance (p.u.)": 0.16,
|
||||||
|
"Length (miles)": 63.0
|
||||||
|
},
|
||||||
|
"new_l20": {
|
||||||
|
"Source bus": "b4",
|
||||||
|
"Target bus": "b6",
|
||||||
|
"Susceptance (S)": 3.3333333333333335,
|
||||||
|
"Normal flow limit (MW)": 100.0,
|
||||||
|
"Investment cost ($)": 30000000.0,
|
||||||
|
"Max number of parallel circuits": 4,
|
||||||
|
"Guide Number": 30.0,
|
||||||
|
"Reactance (p.u.)": 0.3,
|
||||||
|
"Resistance (p.u.)": 0.08,
|
||||||
|
"Length (miles)": 30.0
|
||||||
|
},
|
||||||
|
"new_l21": {
|
||||||
|
"Source bus": "b5",
|
||||||
|
"Target bus": "b6",
|
||||||
|
"Susceptance (S)": 1.639344262295082,
|
||||||
|
"Normal flow limit (MW)": 78.0,
|
||||||
|
"Investment cost ($)": 61000000.0,
|
||||||
|
"Max number of parallel circuits": 4,
|
||||||
|
"Guide Number": 61.0,
|
||||||
|
"Reactance (p.u.)": 0.61,
|
||||||
|
"Resistance (p.u.)": 0.15,
|
||||||
|
"Length (miles)": 61.0
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
Loading…
Reference in new issue